In the diagram of circle C, m∠VWX is 43°. What is the measure of arc VX?

Solution:

Given, m∠VWX = 43°

We have to find the measure of arc VX.

We know, the measurement of the external angle is the semi-difference of the arcs which comprises.

So, m∠VWX = 1/2(arc UY - arc VX)

From the figure, UY = 125°

Substituting the values,

43° = 1/2(125° - arc VX)

43° × 2 = 125° - arc VX

86° = 125° - arc VX

arc VX = 125° - 86°

arc VX = 39°

Therefore, the measure of arc VX is 39°.

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In the diagram of circle C, m∠VWX is 43°. What is the measure of arc VX?

Summary:

In the diagram of circle C, m∠VWX is 43°. The measure of arc VX is 39°.